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Finding the Fourth Proportional to 6,353.70, 9,529.84 and 1,674.14

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Solution

The fourth proportional to 6,353.70, 9,529.84 and 1,674.14 is: 2,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.70 : 9,529.84 = 1,674.14 : x
  2. Step 2: Convert to fraction form
    6,353.70/9,529.84 = 1,674.14/x
  3. Step 3: Cross multiply
    6,353.70x = 9,529.84 × 1,674.14
  4. Step 4: Simplify right side
    6,353.70x = 15,954,286.34
  5. Step 5: Solve for x
    x = 15,954,286.34/6,353.70
  6. Step 6: Final answer
    x = 2,511.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.